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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Energy-Level Spacing Distribution of Quantum Systems via Conformable Operators

Discontinuity, Nonlinearity, and Complexity 11(2) (2022) 325--335 | DOI:10.5890/DNC.2022.06.011

Juan C. Hern\'andez-G\'omez$^1$, Juan E. N\'apoles Vald\'es$^2$, Omar Rosario-Cayetano$^1$, Alberto Fleitas$^1$

$^1$ Facultad de Matem\'aticas, Universidad Aut\'onoma de Guerrero, Acapulco, Guerrero, M\'exico

$^2$ UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, Argentina

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Abstract

In this paper we introduce a Gaussian-like function, as a solution of a Conformable Differential Equation (CDE) of order $0<\alpha\le 1$, able to describe the nearest-neighbor energy-level spacing distribution of quantum systems; where $\alpha$ can be identified as the level-repulsion parameter. In addition, we study some properties of conformable operators and the stability of the solutions of the CDE.

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